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Because of the word "cumulative". What that means is that the height of the graph for any value (X=x) is the number (or proportion) of observations that were less than or equal to the value x.

Now consider the cumulative value of the graph for a value of X which is bigger than x. All the previous observations were ≤ x and so they will be ≤ the newer, larger value. So the height of the cumulative graph cannot decrease. It may increase if there are any observations whose value was between x and the new value.

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14y ago

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How do you complete a cumulative frequency table?

To complete a cumulative frequency table, start by organizing your data in a frequency table, listing the class intervals and their corresponding frequencies. Then, calculate the cumulative frequency for each class interval by adding the frequency of the current interval to the cumulative frequency of the previous interval. Continue this process down the table until all intervals are included, ensuring that the last cumulative frequency equals the total number of observations. Finally, verify that your cumulative frequencies are in non-decreasing order.


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